Finite Group DatabasebetaFinite Group DatabasebetaOrder 29248.
120 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 120 conjugacy classes of subgroups — too many to draw. Only its 51 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C4×Dic914 | C2 | semidirect |
| 3. #28410485 | C2 | semidirect |
| 4. #28410475 | C2 | semidirect |
| 6. #28410463 | C2 | semidirect |
| 9. #20300729 | C4 | semidirect |
| 21. Dic914 | C2×C4 | semidirect |
| 25. #16814532 | C2×C4 | semidirect |
| 49. C457 | #440 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20300729 | 2 |
| C4×Dic914 | 2 |
| #28410485 | 2 |
| #28410475 | 2 |
| #28410473 | 2 |
| #28410463 | 2 |
| C4×D4×C457 | 2 |
| #440 | 457 |